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Finding the Fourth Proportional to 1,109.31, 1,663.98 and 415.85

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Solution

The fourth proportional to 1,109.31, 1,663.98 and 415.85 is: 623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.31 : 1,663.98 = 415.85 : x
  2. Step 2: Convert to fraction form
    1,109.31/1,663.98 = 415.85/x
  3. Step 3: Cross multiply
    1,109.31x = 1,663.98 × 415.85
  4. Step 4: Simplify right side
    1,109.31x = 691,959.71
  5. Step 5: Solve for x
    x = 691,959.71/1,109.31
  6. Step 6: Final answer
    x = 623.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.